110201331000123 has 72 divisors (see below), whose sum is σ = 175174894342656. Its totient is φ = 66207436495200.

The previous prime is 110201331000121. The next prime is 110201331000193. The reversal of 110201331000123 is 321000133102011.

110201331000123 is a `hidden beast` number, since 1 + 10 + 201 + 331 + 0 + 0 + 0 + 123 = 666.

It is not a de Polignac number, because 110201331000123 - 2¹ = 110201331000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110201331000096 and 110201331000105.

It is not an unprimeable number, because it can be changed into a prime (110201331000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1952822718 + ... + 1952879148.

It is an arithmetic number, because the mean of its divisors is an integer number (2432984643648).

Almost surely, 2^{110201331000123} is an apocalyptic number.

110201331000123 is a deficient number, since it is larger than the sum of its proper divisors (64973563342533).

110201331000123 is a wasteful number, since it uses less digits than its factorization.

110201331000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57925 (or 57795 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110201331000123 its reverse (321000133102011), we get a palindrome (431201464102134).

The spelling of 110201331000123 in words is "one hundred ten trillion, two hundred one billion, three hundred thirty-one million, one hundred twenty-three", and thus it is an aban number.